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A bucket that weighs 3.6 pounds and a rope of negligible weight are used to draw water from a well that is 85 feet deep.The bucket is filled with 37 pounds of water and is pulled up at a rate of 2.5 feet per second, but water leaks out of a hole in the bucket at a rate of 0.35 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 2) and the second going from (-2, 2) to (-4, 0). Computer the line integral of (-2dy -2dx)
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
If we have 2 groups with 2 characteristics each, what would our critical value be with an alpha of .025?
The trigonometric expression to estimate the value
Each side of a regular pentagon has a length of 101mm. correct to the nearest mm. What is the least possible length of each side in mm?
When a student is taught how to find the mean of a set of data, why might the child have a difficult time accepting the answer? Please explain in details and give example.
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
How are the distance formula, the Pythagorean theorem, and equations of circles all related? How does one help you understand the others?
If you have 248 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
What is the probability that one is green and the other is blue? A jar contains 8 red marbles, 9 blue marbles, and 6 green marbles
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